Perspective Zoom is off but the icons are still moving around the screen

Yes. Turning perspective zoom off has always only stopped the wallpaper zooming in and moving. The icons still moved in iOS 7.

 

This is how it worked in iOS 7 as well.

With parallax off, the icons move ever so subtly.

 

I really wish you could stop all parallax effects but keep the app opening animations and task switcher animations. There was one iOS 7 update that allowed you to turn off just parallax and the other animations remained, but people bitched about the zooming making them dizzy and sick.

I personally like the zoom effect. It looks nice and it's the same speed as the fade. The fade tricks you into thinking it's faster but you still can't use the screen until the fade is completely done.

 

The only option is to go to Settings > General > Accessibility > Reduce Motion. Turning that on will stop the icons from moving around, but it will also replace those zooming animations with a fading one. Currently it's an all or nothing approach, but at least something is there.

 

The original poster already said that.

 

Reading comprehension fail on my part. I reread the post and you are indeed correct about that.